9377406720 has 576 divisors, whose sum is σ = 38463828480. Its totient is φ = 2138112000.

The previous prime is 9377406707. The next prime is 9377406743. The reversal of 9377406720 is 276047739.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×9377406720³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6461995 + ... + 6463445.

It is an arithmetic number, because the mean of its divisors is an integer number (66777480).

Almost surely, 2^9377406720 is an apocalyptic number.

9377406720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9377406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19231914240).

9377406720 is an abundant number, since it is smaller than the sum of its proper divisors (29086421760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9377406720 is a wasteful number, since it uses less digits than its factorization.

9377406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 9377406720 is about 96837.0111062914. The cubic root of 9377406720 is about 2108.7620839286.

The spelling of 9377406720 in words is "nine billion, three hundred seventy-seven million, four hundred six thousand, seven hundred twenty".